Pith Number

pith:YU2RCCUG

pith:2013:YU2RCCUGFHJKP4CXCGZA75HWES

not attested not anchored not stored refs pending

Galactic rotation curves in hybrid metric-Palatini gravity

Francisco S. N. Lobo, Gonzalo J. Olmo, Salvatore Capozziello, Tiberiu Harko, Tomi S. Koivisto

arxiv:1307.0752 v2 · 2013-06-30 · gr-qc · astro-ph.GA · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YU2RCCUGFHJKP4CXCGZA75HWES}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:07:23.200349Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c535110a8629d2a7f05711b20ff4f624b271b2a66215c2e8b95366a8bb8f9e47

Aliases

arxiv: 1307.0752 · arxiv_version: 1307.0752v2 · doi: 10.48550/arxiv.1307.0752 · pith_short_12: YU2RCCUGFHJK · pith_short_16: YU2RCCUGFHJKP4CX · pith_short_8: YU2RCCUG

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/YU2RCCUGFHJKP4CXCGZA75HWES \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: c535110a8629d2a7f05711b20ff4f624b271b2a66215c2e8b95366a8bb8f9e47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b493e0c405e856d60e10ca8f5d3ecb3cfa9453652abd419d23d356e4977860e9",
    "cross_cats_sorted": [
      "astro-ph.GA",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2013-06-30T06:56:44Z",
    "title_canon_sha256": "d12344c5da68c176d57ae917b34acb58912fe43fc417754b6de660b8f0fc886c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.0752",
    "kind": "arxiv",
    "version": 2
  }
}